Answer:
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = [tex]\frac{0-(-1)}{0-(-2)}[/tex] = [tex]\frac{0+1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]
Using (a, b ) = (- 2, - 1 ) , then
y - (- 1) = [tex]\frac{1}{2}[/tex] (x - ( - 2) ) , that is
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2) ← in point- slope form
